@article{AFST_2002_6_11_4_443_0,
author = {Alan Agresti},
title = {Links between binary and multi-category logit item response models and quasi-symmetric loglinear models},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {443--454},
publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences},
address = {Toulouse},
volume = {Ser. 6, 11},
number = {4},
year = {2002},
zbl = {02074275},
mrnumber = {2032351},
language = {en},
url = {https://afst.centre-mersenne.org/item/AFST_2002_6_11_4_443_0/}
}
TY - JOUR AU - Alan Agresti TI - Links between binary and multi-category logit item response models and quasi-symmetric loglinear models JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2002 SP - 443 EP - 454 VL - 11 IS - 4 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_2002_6_11_4_443_0/ LA - en ID - AFST_2002_6_11_4_443_0 ER -
%0 Journal Article %A Alan Agresti %T Links between binary and multi-category logit item response models and quasi-symmetric loglinear models %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2002 %P 443-454 %V 11 %N 4 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_2002_6_11_4_443_0/ %G en %F AFST_2002_6_11_4_443_0
Alan Agresti. Links between binary and multi-category logit item response models and quasi-symmetric loglinear models. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 11 (2002) no. 4, pp. 443-454. https://afst.centre-mersenne.org/item/AFST_2002_6_11_4_443_0/
[1] ). - A simple diagonals-parameter symmetry and quasisymmetry model, Statistics and Probability Letters, 1 (1983), 313-316. | MR | Zbl
[2] ). - Computing conditional maximum likelihood estimates for generalized Rasch models using simple loglinear models with diagonals parameters, Scandinavian Journal of Statistics, 20 (1993a), 63-72. | MR | Zbl
[3] ). - Distribution-free fitting of logit models with random effects for repeated categorical responses, Statistics in Medicine, 12 (1993b), 1969-1987.
[4] ). - Simple capture-recapture models permitting unequal catchability and variable sampling effort, Biometrics, 50 (1994), 494-500.
[5] ). - Logit models and related quasi-symmetric loglinear models for comparing responses to similar items in a survey, Sociological Methods in Research, 50 (1995), 68-95.
[6] ). - An Introduction to Categorical Data Analysis, Wiley, New York, 1996. | MR | Zbl
[7] ). - A model for repeated measurements of a multivariate binary response, Journal of the American Statistical Association, 92 (1997), 315-321. | Zbl
[8] ), ). - Quasi-symmetric latent class models, with application to rater agreement, Biometrics, 49 (1993a), 131-139.
[9] ), ). - A Proportional odds model with subject-specific effects for repeated ordered categorical responses, Biometrika, 80 (1993b), 527-534. | MR | Zbl
[10] ). - Conditional inference for multiple-choice questionnaires, British Journal of Mathematical and Statistical Psychology, 26 (1973), 31-44. | MR
[11] ). - A rating formulation for ordered response categories, Psychometrika, 43 (1978), 561-573. | Zbl
[12] ). - Quasisymmetric models for the analysis of square contingency tables, Journal of the Royal Statistical Society, Series B, 52 (1990), 369-378. | MR
[13] ), ), ). - Discrete Multivariate Analysis: Theory and Practice, MIT Press, Cambridge, MA, 1975. | MR | Zbl
[14] ). - Contribution à l'analyse statistique des tableaux de corrélation, Annales de la Faculté des Sciences de l'Université de Toulouse, 29 (année 1965), (1966), 77-183. | Numdam | MR | Zbl
[15] ). - Analysis of repeated categorical measurements with conditional likelihood methods, Journal of the American Statistical Association, 84 (1989), 53-62. | MR
[16] ). - The Mantel-Haenszel test and tests of marginal symmetry; fixed-effects and mixed models for a categorical response, International Statistical Review, 49 (1981), 285-307. | MR | Zbl
[17] ), ), ), ). - A Three-sample multiple-recapture approach to census population estimation with heterogeneous catchability, Journal of the American Statistical Association, 88 (1993), 1137-1148.
[18] ), ). - Category distinguishability and observer agreement, The Australian Journal of Statistics, 28 (1986), 371-388. | MR | Zbl
[19] ), ). - Maximum likelihood estimation in generalized Rasch models, Journal of Educational Statistics, 11 (1986), 183-196.
[20] ). - Rasch measurement: further examples and discussion, in Turner Charles F. and Martin Elizabeth, editors, Surveying Subjective Phenomena, volume 2, chapter 12, pages 367-403, Russell Sage Foundation, New York, 1984.
[21] ), ), ). - Alternative statistical models and representations for large sparse multi-dimensional contingency tables, Annales de la Faculté des Sciences de L'Université de Toulouse, Mathématiques, 2002, This issue. | Numdam | MR | Zbl
[22] ). - Recent advances in theory and methods for the analysis of categorical data: Making the link to statistical practice, in Bulletin of the International Statistical Institute, volume 49, Book 2 (1981), 763-791. | MR | Zbl
[23] ), ), ). - Classical multilevel and Bayesian approaches to population size estimation using multiple lists, Journal of the Royal Statistical Society, Series A, 162 (1999), 383-405.
[24] ), ). - Loglinear representation for paired and multiple comparisons models, Biometrika, 63 (1976), 245-254. | MR | Zbl
[25] ), ). - Loglinear models and categorical data analysis with psychometric and econometric applications, Journal of Econometrics, 22 (1983), 191-214. | MR | Zbl
[26] ), ), ), ). - Risk preferences for gains and losses in multiple objective decisionmaking, Management Science, 32 (1986), 1065-1086.
[27] ). - Multiplicative models for square contingency tables with ordered categories, Biometrika, 66 (1979), 413-418.
[28] ). - Contributions to the statistical analysis of contingency tables : Notes on quasi-symmetry, quasi-independence, log-linear models, log-bilinear models, and correspondence analysis models, Annales de la Faculté des Sciences de l'Université de Toulouse, 2002, This issue. | Numdam | MR | Zbl
[29] ). - The Rasch model, some extensions and their relation to the class of generalized linear models, in Statistical Modelling: Proceedings of GLIM89 and the 4th International Workshop on Statistical Modelling, volume 57 of Lecture Notes in Statistics, Berlin, Springer, 1989. | Zbl
[30] ), ). - A random-effects ordinal regression model for multilevel analysis, Biometrics, 50 (1994), 933-944. | Zbl
[31] ), ), ). - Association and heterogeneity : Structural models of similarities and differences, Sociological Methodology, 17 (1987), 145-184.
[32] ). - Loglinear Rasch model tests, Psychometrika, 49 (1984), 223-245. | Zbl
[33] ), ). - Loglinear multidimensional IRT models for polytomously scored items, Psychometrika, 59 (1994), 149-176. | Zbl
[34] ), ). - Simultaneously modeling joint and marginal distributions of multivariate categorical responses, Journal of the American Statistical Association, 89 (1994), 625-632. | Zbl
[35] ), ), ). - Semiparametric estimation in the Rasch model and related exponential response models, including a simple latent class model for item analysis, Journal of the American Statistical Association, 86 (1991), 96-107. | MR | Zbl
[36] ). - A Rasch model for partial credit scoring, Psychometrika, 47 (1982), 149-174. | Zbl
[37] ). - A logistic model for paired comparisons with ordered categorical data, Biometrika, 64 (1977), 449-453. | MR | Zbl
[38] ). - Some applications of quasisymmetry, Biometrika, 69 (1982), 303-308. | MR | Zbl
[39] ), ), ). - Conditions for consistent estimation in mixed-effects models for binary matched-pairs data, Canadian Journal of Statistics, 22 (1994), 139-148. | MR | Zbl
[40] ). - On general laws and the meaning of measurement in psychology, in J. Neyman, editor, Proceedings of the 4th Berkeley Symp. Math. Statist. Probab., volume 4, pages 321-333, Berkeley, 1961, University of California Press. | MR | Zbl
[41] ). - Estimation of latent ability using a response pattern of graded scores, volume 17, Psychometrika, Monograph Supplement, Psychometric Society, Iowa City, 1969.
[42] ), ). - Multivariate contingency tables and the analysis of exchangeability, Biometrics, 51 (1995), 1001-1016. | Zbl
[43] ). - A Connection between Rasch's Item analysis model and a multiplicative Poisson model, Scandinavian Journal of Statistics, 9 (1982), 23-30. | MR | Zbl
[44] ). - Sequential item response models with an ordered response, British Journal of Mathematical and Statistical Psychology, 43 (1990), 39-55. | MR | Zbl